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3. Write three ratios equal to 4/36

tia_tia [17]

${\Huge{\boxed{\mathbb{QUESTION}}}$

Write three ratios equal to $\frac{4}{36}$

${\huge{\boxed{\mathbb{EXPLANATION\:WITH\:REASONING\;}}}$

This ratio can be represented as $4:36$

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${\Huge{\boxed{\mathbb{THE\:RATIOS}}}$

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$1:9$

$2:18$

$3:27$

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${\huge{\boxed{\mathbb{TERMS}}}$

Equivalent/Equal ratios - Definition of Equivalent Ratio A ratio can be represented as a fraction. The concept of an equivalent ratio is similar to the concept of equivalent fractions. A ratio that we get either by multiplying or dividing by the same number, other than zero, to the antecedent and the consequent of a ratio is called an equivalent ratio.

6 0

3 years ago

What is the value of the expression below? 32^3/5 O A. 6/5 B. 6 O c. 96/5 O D. 8

Hoochie [10]

Answer:

D. 8

Step-by-step explanation:

32^(3/5) is the same as $\sqrt[5]{32}$ ^3.

$\sqrt[5]{32}$ = 2 because 2^5=32

2^3 = 8

6 0

2 years ago

Read 2 more answers

A data set with a mean of 34 and a standard deviation of 2.5 is normally distributed

tresset_1 [31]

Answer:

a) $z= \frac{34-34}{2.5}= 0$

$z= \frac{39-34}{2.5}= 2$

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

b) $P(X$

$z= \frac{31.5-34}{2.5}= -1$

So one deviation below the mean we have: (100-68)/2 = 16%

c) $z= \frac{29-34}{2.5}= -2$

$z= \frac{36.5-34}{2.5}= 1$

For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%

Step-by-step explanation:

For this case we have a random variable with the following parameters:

$X \sim N(\mu = 34, \sigma=2.5)$

From the empirical rule we know that within one deviation from the mean we have 68% of the values, within two deviations we have 95% and within 3 deviations we have 99.7% of the data.

We want to find the following probability:

$P(34 < X$

We can find the number of deviation from the mean with the z score formula:

$z= \frac{X -\mu}{\sigma}$

And replacing we got

$z= \frac{34-34}{2.5}= 0$

$z= \frac{39-34}{2.5}= 2$

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

For the second case:

$P(X$

$z= \frac{31.5-34}{2.5}= -1$

So one deviation below the mean we have: (100-68)/2 = 16%

For the third case:

$P(29 < X$

And replacing we got:

$z= \frac{29-34}{2.5}= -2$

$z= \frac{36.5-34}{2.5}= 1$

For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%

7 0

3 years ago

If $3,000,000 is invested at 6% interest compounded continuously, how much

g100num [7]

Answer:

$24,498,509.74

Step-by-step explanation:

The formula for the value as a function of time is ...

V(t) = P·e^(rt)

Filling in the numbers and doing the arithmetic, we have ...

V(35) = 3,000,000·e^(0.06·35) ≈ 24,498,509.74

Compounded continuously for 35 years, the investment will be worth $24,498,509.74.

3 0

3 years ago

14. Determine if the statement is true or false.

Effectus [21]

It depends if x is positive or negative and the same as in y

7 0

3 years ago